The deputy commissioner for New South Wales Police, Nick Kaldas, told Sky News: "It hasn't been indicated to us that an offense has occurred and they have not actually asked for anything yet.

"They've simply touched base, let us know of their interest and they will get back to us if they actually want something done. Nothing has been requested of us yet."

Both DJs are reported to be in an unstable condition and receiving "intense counseling".

An inquest into the nurse's death is due to begin later this week, but legal experts say it is unlikely the DJs will be prosecuted in Australia or in the UK because they did not show "guilty intent," reports the BBC.

However, the radio duo could have violated the Surveillance Devices Act in the state of New South Wales. The act prohibits the broadcasting of private conversations by using a "listening device".

The pre-recorded hoax call was reportedly checked by lawyers before it was broadcast.